Using wet-bulb globe temperature meters to examine the effect of heat on various tennis court surfaces

In this study, we evaluated the thermal environments of different tennis courts using wet-bulb globe temperature (WBGT) meters. WBGT meters were installed in an outdoor hard court, sand-filled artificial grass court, and clay court (a softball field), and measurements were taken hourly from 9:00 to 17:00 on weekdays from June 1 to September 21, 2022. The results were compared with data from different courts and the nearest Japan Meteorological Agency station (JMA WBGT) based on the Japan Sports Association’s guidelines for exercise to prevent heat stroke. The median WBGT on each court was significantly higher for hard courts at the “Warning” (25 ≤ JMA WBGT < 28) level or above, sand-filled artificial grass courts at the “Severe Warning” (28 ≤ JMA WBGT < 31) level or above, and clay courts at the “Danger” (31 ≤ JMA WBGT) level than the JMA WBGT. Compared with the JMA WBGT, hard and sand-filled artificial grass courts are played on under particularly hot conditions. The results of this study could indicate to tournament organizers and coaches the importance of measuring the WBGT on each court surface from an early stage to prevent heat-related incidents.

constitute diverse microclimatic environments 9,10 that may differ from established weather stations 11 .The wetbulb globe temperature (WBGT) is an index used to measure the thermal environment calculated from wet-bulb, black-bulb, and dry-bulb temperatures and was proposed by Yaglow and Minard in 1957 12 .The WBGT has been reported to be highly correlated with heat stroke 13 and can be used to prevent it.The WBGT was ISO-approved in 1989 14 , and the Japan Sports Association published the Heat Stroke Prevention Exercise Guidelines in 1994 in Japan 15 , presenting measures to prevent heat stroke in accordance with the WBGT.The WBGT is currently used in the thermal environment assessment of international sporting events such as the Olympic Games 16 , and an accurate understanding of the thermal environment using WBGT measurements at each sports field has become a fundamental element of heat countermeasures.In tennis, heat safety guidelines-such as the Extreme Weather Policy 5 and the Japan Tennis Association (JTA)'s heat rules 17 -are operated based on the WBGT.
Moreover, several studies have been conducted on the differences in the WBGT on various athletic surfaces.Pryor et al. 11 evaluated the WBGT for various stadiums using portable WBGT meters and reported that no differences in the WBGT were evident for each surface but that there was considerable variation in the WBGT between surfaces and that using the WBGT published by the National Weather Service misclassified heat safety categories for all surfaces.Grundstein et al. 10 also compared the WBGT measured on grass, artificial turf, and tennis hard courts and reported no differences in the WBGT between surfaces, although microclimate differences in dry-bulb and dew-point temperatures were evident.However, in the study by Pryor et al. 11 , the time of measurement was limited to the afternoon (between 13:00 and 16:30), and it was not clear from which guideline level the WBGT error at the station was created at each surface.The study by Grundstein et al. 10 also has several limitations.They did not make comparisons for each exercise guideline category, nor did they perform measurements on clay courts, nor did they compare the WBGT values to those at the nearest station.Consequently, based on the above problems, the investigation of the heat conditions at various tennis courts during the summer season could provide data to use as a reference for exercise guidelines and playing time on each surface.Moreover, long-term measurements for the duration of summer competitions could contribute to effective heat management for athletes, coaches, referees, and spectators.Therefore, this study aims to evaluate the heat environments of different tennis court surfaces using WBGT meters.

Measurement environment and the WBGT device
Natural wet-bulb and dry-bulb, and 15-mm-diameter black-bulb (AGTS-2505, Ando Keiki, Tokyo, Japan; CK-SETII-NM, Ando Keiki) WBGT meters (natural thermometers) were installed approximately 1.5 m above the surface of a blue-painted hard court (DecoTurf, Sports Surface, Tokyo, Japan), sand-filled artificial grass court (sandgrass, Sekisui Jushi Corporation, Tokyo), and clay court (decomposed granite soil) (softball field) at Doshisha University in Kyotanabe, Kyoto, Japan.Measurements were taken every hour from 9:00 to 17:00 on weekdays between June 1, 2022, and September 21, 2022.The dry-bulb temperature was measured in the shade, with a temperature-sensitive area covered with aluminum foil to remove radiant heat.Ethical approval was not required for this study.

Collection of WBGT data
The dry-bulb, wet-bulb, and black-bulb temperatures were recorded, and the WBGT was calculated using the outdoor WBGT calculation formula (0.7 × wet-bulb temperature + 0.2 × black-bulb temperature + 0.1 × dry-bulb temperature) (hard WBGT, sand-filled artificial grass WBGT, clay WBGT).The values published by public organizations are based on the Electronic Information Provision Service for Heat Index (WBGT) predictions 18 (provisioning service) of the Ministry of the Environment according to the observed values of the Japan Meteorological Agency (JMA).In its Application of Heat Rules and Medical Rules in Tennis Competitions in Heat publication of 2019, the JTA requires that the WBGT at the nearest point to the tournament venue be checked every hour using a provisioning service whenever the WBGT on-site measurements are not available 17 .Consequently, this study recorded the estimated WBGT (JMA WBGT) at the station nearest the measurement location (Kyotanabe).The JMA WBGT was calculated based on the work of Ono and Tonouchi using the following equation 19 : where Ta denotes the temperature (°C), RH denotes the relative humidity (%), SR denotes the total solar radiation (kW/m 2 ), and WS denotes the average wind speed (m/s).
In the study 19 , the black-bulb temperature (measured using a 6-inch black-bulb thermometer), dry-bulb temperature, and wet-bulb temperature (calculated by Iribarne and Godson, 1981 20 using the dry-bulb temperature, dew point temperature, and ground pressure) were used to calculate the WBGT reference values.The WBGT estimation equation was calculated by multiple regression using the normally observed meteorological elements-that is, the dry-bulb temperature, relative humidity, dry-bulb temperature × relative humidity, total solar radiation, and wind speed-as explanatory variables.It should be noted that the infrared radiation is not measured in the JMA's normally observed meteorological elements, and the total solar radiation (which is the sum of direct and scattered solar radiation) is observed.
The correlation between the estimated and observed values was extremely high (r 2 = 0.998), and 97.6% of the estimation error was within ± 1 °C.The quadratic terms of the total solar radiation (which showed estimation errors between the estimated and observed values) were then added as explanatory variables.The results showed that 99.8% of the estimation errors were within ± 1 °C, 92.7% were within ± 0.5 °C, and 33.0% were within ± 0.1 °C.The three-year data range for the six weather stations used to calculate the equation ranged from − 3.9 °C www.nature.com/scientificreports/ to 38.2 °C for the temperature, 44% to 92% for temperatures below 0 °C and 28% to 52% for temperatures above 35 °C for the relative humidity.
Consequently, this formula can be used to estimate the WBGT for six cities over three years with a confidence level of 98.3-99.8% and a bias within 1.0 °C and is currently used by the JMA as the WBGT estimation formula in Japan.Global solar radiation and humidity were calculated based on values from neighboring regional meteorological stations, as 687 stations nationwide (approximately 82% of all stations in Japan), including the Kyotanabe station, do not have actual measured values.It should be noted that the use of the WBGT at the nearest station, published by a public agency for comparison with the measured WBGT has been used in a previous study 11 that investigated the thermal environment at various stadiums.All the measurement points on the three court surfaces were within approximately 100-200 m of each other.The distance between the tennis courts and Kyotanabe Station was approximately 3.8 km.

Statistical analysis
The hard court WBGT, sand-filled artificial grass court WBGT, clay court WBGT, and JMA WBGT were compared based on the guideline levels for heat stroke prevention (21 ≤ JMA WBGT < 25: Caution, 25 ≤ JMA WBGT < 28: Warning, 28 ≤ JMA WBGT < 31: Severe Warning, 31 ≤ WBGT: Danger) published by the JSA 15 .The limit values for each guideline level were determined based on an analysis of the distribution of ambient temperatures (WBGT) during the occurrence of heat stroke during exercise in Japan.The Steel-Dwass test was used to compare the WBGT and JMA WBGT for each surface.A Bland-Altman analysis was conducted for the WBGT of each surface and the JMA WBGT to confirm systematic errors 21 .Fixed errors were considered to exist in the difference between the WBGT of each surface and the JMA WBGT if the range of ± 1.96 standard deviation from the mean (which was the limit of agreement) did not reach zero.Proportional errors were determined by regression analysis on the Bland-Altman plots, and proportional errors were considered to exist when the regression was significant.Hourly comparisons were made between the WBGT of each surface and the JMA WBGT using the Steel-Dwass test.R software ver.4.2.2 and SPSS software ver.28.0 (IBM Japan, Tokyo, Japan) were used for the statistical analyses.Statistical significance was set at P < 0.05.

Human and animal rights
Ethical approval and informed consent were not required for this study as it did not involve human subjects.

Results
We collected data for 417 sets of data, excluding 322 sets of data when the WBGT meter failed, when it rained, or when the court could not use or record (WBGT meter failure: 33 sets of data, rain: 135 sets of data, the court could not use or record: 154 sets of data).Figure 2 shows the comparative WBGT among different court surfaces based on JSA exercise guideline levels (guideline level) 15 .At the "Caution" level (21 ≤ JMA WBGT < 25), no significant differences are evident between court surfaces.At the "Warning" level (25 ≤ JMA WBGT < 28), the hard court WBGT is significantly higher than the JMA WBGT (hard WBGT, median:

Changes in the WBGT of each surface and JMA WBGT over time
Figure 4 shows the temporal variations in the WBGT of each surface the JMA WBGT at each guideline level.At the "Warning" level (25 ≤ JMA WBGT < 28), the hard court WBGT is significantly higher than the JMA WBGT at 10:00 (median: 28  the JMA WBGT underestimated the heat environment of the WBGT of each tennis court surface, suggesting that actual on-court measurements are essential.Furthermore, in this study, the heat environment in hard and sand-filled artificial grass courts was severe based on the low guideline levels (according to the JMA WBGT) compared to clay courts.In a previous study, the WBGT at the nearest station underestimated the heat stress on the local surface when the surface was composed of synthetic materials 11 .In this study, the hard courts and sand-filled artificial grass courts were composed of synthetic materials, and the JMA station was planted with grass to reduce heat from the ground.It could be inferred that the difference in the measurement environment (synthetic or natural materials) was a factor that caused the difference in the WBGT.This study's long-term evaluation of the heat environment using a WBGT meter is crucial, as heat-mitigation measures from earlier guideline levels (under conditions where the JMA WBGT is expected to reach ≥ 25 °C) are required in hard courts (DecoTurf), which are widely used globally.Moreover, aggressive measures are required, particularly between 9:00 and 13:00, when the amount of solar radiation is expected to increase with an increase in the solar radiation angle.
Exertional heat stroke is the second most common cause of non-traumatic death in competitive athletes 22 .Moreover, tennis (including soft tennis) is the fourth most common sport in terms of the number of heat stroke cases in elementary, junior high, high, and vocational schools, following baseball, soccer, and endurance running 23 .Indeed, the risk of heat stroke is high in tennis tournaments that take place in hot environments, and the Australian Open has reported an increase in the number of players calling for cooling devices and requesting doctors and trainers as the WBGT increases and several matches have been abandoned because of heat-related illnesses 24 .
Several studies have reported that the number of heat stroke cases increased as the WBGT increased 25,26 .Moreover, it has been shown that the risk of heat stroke was approximately six times higher at 28-29 °C than at 25-26 °C27 and that deaths due to heat stroke increased rapidly at WBGTs above 28 °C28 .Consequently, underestimation of the WBGT in the field owing to JMA observations can affect the heat protection choices and activity policies of competition organizers and athletes, leading to the risk of heat stroke and poor performance.In a survey of heat measures at regional tennis tournaments in Japan, 71.6% of tournaments "prepared ice, drinking water, parasols, stretchers or wheelchairs, and automated external defibrillators, " while only 49.3% of tournaments "measured the WBGT or temperature and humidity 29 ." Given that matches may be played under severe heat conditions (especially on hard courts compared to the WBGT values at the nearest station), coaches and tournament organizers should carefully monitor the heat environment using on-site measurements of the WBGT and prepare cooling measures in advance.It is also vital to reduce the frequency of early afternoon games and proactively explore the possibility of hosting games during the early morning, evening, or nighttime.Based on the results of this study, implementing measures (in particular, the measurement and evaluation of the heat environment in the field using WBGT meters) that consider the heat environment at each surface could prevent heat-related accidents.
This study has several limitations.Firstly, it focused solely on environmental factors contributing to heat strain without assessing the physiological load on athletes, such as water loss.Individual differences in thermoregulation, thermal comfort, and heat strain were also not considered.Previous studies have identified six factors influencing heat strain: dry-bulb temperature, black-globe temperature, wind velocity, wet-bulb temperature, metabolic rate, and clothing insulation moisture permeability 30 .A detailed analysis of environmental effects on heat stress necessitates information on four fundamental factors: air temperature, mean radiant temperature, air velocity, and absolute humidity 31 .The WBGT index provides a basic approximation of heat stress on humans.However, its limitations have been acknowledged.Budd 32 pointed out that it does not adequately reflect the additional strain experienced when sweat evaporation is hindered by high humidity or low airflow.Additionally, Alfano et al. 33 suggested considerations for clothing adjustments, setting limits, and adapting to changing working conditions, highlighting uncertainties in current practices.ISO7243 34 introduced the clothing adjustment value (CAV) and effective wet bulb globe temperature (WBGT eff ) to address these concerns by adjusting for clothing with different thermal properties than standard work clothing.When WBGT eff exceeds the reference value, it recommends using the Predicted Heat Strain (PHS) index 35,36 , which integrates all six heat stress factors affecting humans 34 .The PHS model quantitatively predicts heat burden risk by incorporating air temperature, humidity, wind speed, radiant temperature, metabolic heat production, and clothing thermal resistance into a body thermal equilibrium equation 34 .Analysis using the PHS model demonstrated that mean radiant temperature significantly affects the Maximum Allowable Exposure Time (DLE), particularly noting a substantial decrease in DLE at high metabolic rates when the difference between mean radiant temperature and air temperature exceeds 10 °C37 .Thus, utilizing the PHS model to quantitatively predict heat burden risk on each tennis court surface in the future could facilitate the development of more effective heat safety guidelines.Second, the model used to calculate the JMA WBGT is not internationally accepted.The ISO7243 standard (Ergonomics of the thermal environment assessment of heat stress using the WBGT (wet-bulb globe temperature) index) does not recommend indirect assessment of the WBGT 14 .However, in Japan, the WBGT (indirectly evaluated from meteorological data) is used to apply exercise and operational guidelines when the actual measured values at the site cannot be obtained.Consequently, we believe that it is appropriate to adopt the JMA WBGT as a comparison target for the WBGT measured at each surface, but its accuracy is not guaranteed.Third, the court used in this study was 3.8 km away from the JMA WBGT at the station, and the influence of the surrounding environment and local climate may not have been fully considered.However, setting up an observation point adjacent to the tennis court was impossible based on JMA conditions.Fourth, this study may have underestimated the infrared radiation emitted from the ground because the WBGT was measured only at 1.5 m above ground level rather than at the three heights specified in the ISO 7243 standard 14 -that is, 0.1, 1.1, and 1.7 m).However, the International Olympic Committee Consensus Statement recommends that measurements be taken at 1.2-1.5 m above the ground to consider the conditions experienced by athletes 16 .Consequently, the data obtained in this study are considered to have some utility.Fifth, the 1 °C accuracy in the WBGT assessment used in this study is only applicable to the specific climatic conditions for which the Japanese model was validated.Finally, there are various types of hard coating materials, and the results of this study are not comprehensive.Therefore, future measurements at multiple locations and heights and using different materials should be conducted to assess the impact of surfaces on the WBGT more accurately.Despite these limitations, we were able to measure the heat environment of tennis courts for approximately three months during the summer season, and our findings point out the importance of early measurements and the need for match management that considers the court surfaces and time of day (which are the strengths of this study).

Conclusions
The WBGT was higher on many tennis court surfaces as the exercise guideline levels increased compared with the WBGT published by the JMA.Consequently, aggressive heat countermeasures should be provided for hard and sand-filled artificial grass courts at an earlier time, as more severe heat per day was evident from 9:00 to 13:00.This study also demonstrated the importance of exploring the possibility of holding games in the early morning, evening, and nighttime.Lastly, these results should highlight to tournament organizers and coaches the importance of measuring the on-site WBGT on each court surface from an early stage.On the other hand, since WBGT serves merely as an empirical indicator for assessing heat risk, future studies should aim to quantitatively predict the magnitude of deep body temperature increase and heightened sweating on each court surface.This approach should also determine allowable exposure times and identify the primary thermal factors contributing to heat risk using body heat balance models such as PHS.

Figure 2 .
Figure 2. Comparative WBGT among different court surfaces based on exercise guideline levels.